Open Access
Subscription Access
Open Access
Subscription Access
Effect of Rotation on Triple- Diffusive Convection in Walters’ (Model B´) Fluid in Porous Medium
Subscribe/Renew Journal
The effect of rotation on triple- diffusive convection in Walters’ (Model B´) fluid in porous medium is considered in the presence of uniform vertical rotation. For the case of stationary convection, the stable solute gradients and rotation have stabilizing effect on the system, whereas the medium permeability has a destabilizing (or stabilizing) effect on the system under certain conditions. A linear stability analysis theory and normal mode analysis method have been carried out to study the onset convection. The kinematic viscoelasticity has no effect on the stationary convection. The solute gradients, rotation, porosity and kinematic viscoelasticity introduce oscillatory modes in the system, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.
Keywords
Triple-Diffusive Convection, Walters’ (Model B´) Fluid, Thermal Convection, Solute Gradients, Vertical Magnetic Field, Rotation.
Subscription
Login to verify subscription
User
Font Size
Information
- A.J. Pearlstein, (1989). The onset of convective instability in a triply diffusive fluid layer. Journal of Fluid Mechanics, 202, pp. 443-465.
- B. D. Straughan, W. Walker, (1997). Multi component diffusion and penetrative convection. Fluid Dynamics Research, 1997, pp. 77- 89.
- C. Oldenberg, K. Pruess , (1998) . Layered thermohaline convection in hypersaline geothermal systems .Transport in Porous Media, 33, pp. 29-63.
- D.A. Nield, A. Bejan ,(1992). Convection in porous medium, Springer.
- G. Veronis, (1965). Thermohaline convection in a layer of fluid heated from below. J. Marine Res., 23, pp. 1-17.
- J. A. M. Mcdonnel, Cosmic dust, (1978). John Willey and Sons, Toronto.
- K. Waltetrs, (1962). Quart. Jour. Mech. Appl. Math. , 15 , pp. 63-76.
- Lopez Amalia , (1990). Effect of rigid boundaries on the onset of convective instability in a triply diffusive fluid layer R. Phys. Fluids, 2 ,pp. 897-902.
- O.M. Philips, (1991). Flow and reaction in permeable rocks, Cambridge University Press, Cambridge.
- O’sullivan, M., Pruess, K., Lippmann, M., (2000). Geothermics, 30, pp. 395-429.
- P.R. Sharma, H. Kumar, (1995).The steady flow and heat transfer of Walters’ (Model B|) fluid through a porous pipe of uniform circular cross- section with small suction . Proc. Nat. Acad. Sci. India, 65(A) ,pp. 75-88.
- R.C. Sharma, P. Kumar, (1997).The stability of the plane interface separating two viscoelastic Walters’ (Model B|) fluid of uniform densities. Chech. J. Phys., 47,pp. 197-204.
- R. C. Sharma, Sunil, Suresh Chand, (1998).The thermosolutal instability of Walters’ (Model B|) fluid in porous medium. Chech. J. Phys., 48 ,pp. 1-7.
- R. C. Sharma, Sunil, Suresh Chand, (1999). Thermosolutal instability of Walters’ (model B|) rotating fluid in porous medium. Arch. Mech., 51(2), pp. 181-191.
- R. C. Sharma, Sunil, Suresh Chand, (2000). Thermosolutal convection in Walters’ (model B|) fluid in porous medium in Hydrodynamics. Studia Geotechnica Mechanicas, 3-4 ,pp. 03- 14.
- R.C. Sharma, Sunil and Suresh Chand, (1999b).The instability of streaming Walters’ viscoelastic fluid B' in porous medium, Czechoslovak Journal of Physics, 49(2), pp. 189-195.
- S. Chandrashekhar, Hydrodynamic and Hydromagnetic stability, (1981). Dover Publication, New York.
- S.P. Bhattacharyya, M. Abbas, (1985). The effect of rotation in angular momentum equation. Int. J. Eng. Sci., 23, pp.371- 374.
- Y. Qin and P.N.Kaloni,(1992) A thermal instability problem in arotating microplar fluid, International Journal of Engineering Science, Vol.30 , pp.1117-1126.
Abstract Views: 729
PDF Views: 0